Question

Which function has a greater unit rate?
y=4x+3

X: 2, 3, 4, 5, 6
Y: 10, 15, 20, 25, 30

A) The table
B) The equation

Answer 1

A) The table

To determine the unit rate, we need to compare the change in y with the change in x for each function.

For the table:
- When x changes from 2 to 3, y changes from 10 to 15 (an increase of 5)
- When x changes from 3 to 4, y changes from 15 to 20 (an increase of 5)
- When x changes from 4 to 5, y changes from 20 to 25 (an increase of 5)
- When x changes from 5 to 6, y changes from 25 to 30 (an increase of 5)

The unit rate for the table is 5.

For the equation y=4x+3:
- When x changes from 2 to 3, y changes from 11 to 15 (an increase of 4)
- When x changes from 3 to 4, y changes from 15 to 19 (an increase of 4)
- When x changes from 4 to 5, y changes from 19 to 23 (an increase of 4)
- When x changes from 5 to 6, y changes from 23 to 27 (an increase of 4)

The unit rate for the equation y=4x+3 is 4.

Therefore, the function with the greater unit rate is the table.